Generalized isometries of the special unitary group
نویسندگان
چکیده
منابع مشابه
Bosonic color-flavor transformation for the special unitary group
We extend Zirnbauer’s color-flavor transformation in the bosonic sector to the color group SU(Nc). Because the flavor group U(Nb, Nb) is non-compact, the algebraic method by which the original color-flavor transformation was derived leads to a useful result only for 2Nb ≤ Nc. Using the character expansion method, we obtain a different form of the transformation in the extended range Nb ≤ Nc. Th...
متن کاملGeneralized Unitary Operators
1. Let C be the complex field and T be the unit circle { \ £ C : | \ | = 1} . For a non-negative integer m or for m = oo, let OCT) be the space of all m-times continuously differentiable functions on T. (Here we consider T as a C°°-manifold in the natural way. Thus, any / £ C m ( r ) can be identified with an m-times continuously differentiable periodic function f (6) of a real variable 0 with ...
متن کاملA note on perfect isometries between finite general linear and unitary groups at unitary primes
Let q be a power of a prime, l a prime not dividing q, d a positive integer coprime to both l and the multiplicative order of q mod l and n a positive integer. A. Watanabe proved that there is a perfect isometry between the principal l−blocks of GLn(q) and GLn(q ) where the correspondence of characters is give by Shintani descent. In the same paper Watanabe also prove that if l and q are odd an...
متن کاملConnections between conjectures of Alon-Tarsi, Hadamard-Howe, and integrals over the special unitary group
We show the Alon-Tarsi conjecture on Latin squares is equivalent to a very special case of a conjecture made independently by Hadamard and Howe, and to the non-vanishing of some interesting integrals over SU(n). Our investigations were motivated by geometric complexity theory.
متن کاملA Note on the Special Unitary Group of a Division Algebra
If D is a division algebra with center a number field K and with an involution of the second kind, it is unknown if the group SU(1, D)/[U(1, D), U(1, D)] is trivial. We show that, by contrast, if K is a function field in one variable over a number field, and if D is an algebra with center K and with an involution of the second kind, the group SU(1, D)/[U(1, D), U(1, D)] can be infinite in gener...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Archiv der Mathematik
سال: 2016
ISSN: 0003-889X,1420-8938
DOI: 10.1007/s00013-015-0856-0